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Finding the Fourth Proportional to 717.65, 990.39 and 422.88

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Solution

The fourth proportional to 717.65, 990.39 and 422.88 is: 583.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.65 : 990.39 = 422.88 : x
  2. Step 2: Convert to fraction form
    717.65/990.39 = 422.88/x
  3. Step 3: Cross multiply
    717.65x = 990.39 × 422.88
  4. Step 4: Simplify right side
    717.65x = 418,816.12
  5. Step 5: Solve for x
    x = 418,816.12/717.65
  6. Step 6: Final answer
    x = 583.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.